400Hw01 - STAT 400 Spring 2011 Homework #1 (due Friday,...

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STAT 400 Spring 2011 Homework #1 (due Friday, January 28, by 3:00 p.m.) 1. Suppose that P ( A ) = 0.40, P ( B ) = 0.30, P ( A B ) = 0.20. What is the probability that … a) either A occurs or B occurs (or both); b) B does not occur; c) B occurs and A does not occur; d) neither A nor B occurs. 2. Suppose that P ( A ) = 0.40, P ( B ) = 0.50, P ( A B ) = 0.70. Find … a) P ( A B ); b) P ( A ' B ' ); c) P ( A ' B ' ). 3. Suppose P ( A ) = 0.6, P ( B ) = 0.5, P ( C ) = 0.4, P ( A B ) = 0.3, P ( A C ) = 0.2, P ( B C ) = 0.2, P ( A B C ) = 0.1. Find … a) P ( A B ); b) P ( B C ); c) P ( ( A B ) C ' ); d) P ( A ( B C ) ). 4. Let events A and B and sample space S be defined as the following intervals: S = { x : 0 x 10 }, A = { x : 0 < x < 5 }, B = { x : 3 x 7 }. Characterize the following events: a) A ' b) A B c) A B d) A B ' e) A ' B f) A ' B '
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5. An urn contains six chips numbered 1 through 6. Three are drawn out.
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400Hw01 - STAT 400 Spring 2011 Homework #1 (due Friday,...

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